This article presents a new mathematical proof that is obtained in a strong sense that the conjecture is also true when any one of local optimal solutions is reached in helping to investigating convex ...

The concave-convex procedure (CCCP) is an iterative algorithm that solves d.c. (difference of convex functions) programs as a sequence of convex programs. In machine learning, CCCP is extensively used ...

Shizuo Kakutani, A Proof That there Exists a Circumscribing Cube Around Any Bounded Closed Convex Set in R3, Annals of Mathematics, Vol. 43, No. 4 (Oct., 1942), pp. 739-741 ...

Journal of Applied Probability, Vol. 15, No. 3 (Sep., 1978), pp. 645-649 (5 pages) This paper gives an elementary proof that, under some general assumptions, the number of parts a convex set in Rd is ...

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